A288318 - cp's OEIS frontend

A288318 Number T(n,k) of Dyck paths of semilength n such that each positive level has exactly k peaks; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	2
8	0
9	1
10	0
11	0
12	0
13	0
14	1
15	0
16	4
17	3
18	0
19	0
20	1
21	0
22	6
23	6
24	0
25	0
26	0
27	1
28	0
29	8
30	0
31	4
32	0
33	0
34	0
35	1
36	0
37	24
38	9
39	20
40	0
41	0
42	0
43	0
44	1
45	0
46	52
47	54
48	20
49	5
50	0
51	0
52	0
53	0
54	1
55	0
56	96
57	138
58	0
59	45
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	212
68	207
69	16
70	105
71	6
72	0
73	0
74	0
75	0
76	0
77	1
78	0
79	504
80	360
81	200
82	70
83	84
84	0
85	0
86	0
87	0
88	0
89	0
90	1

[1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 4, 3, 0, 0, 1, 0, 6, 6, 0, 0, 0, 1, 0, 8, 0, 4, 0, 0, 0, 1, 0, 24, 9, 20, 0, 0, 0, 0, 1, 0, 52, 54, 20, 5, 0, 0, 0, 0, 1, 0, 96, 138, 0, 45, 0, 0, 0, 0, 0, 1, 0, 212, 207, 16, 105, 6, 0, 0, 0, 0, 0, 1, 0, 504, 360, 200, 70, 84, 0, 0, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A288318 Number T(n,k) of Dyck paths of semilength n such that each positive level has exactly k peaks; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	2
8	0
9	1
10	0
11	0
12	0
13	0
14	1
15	0
16	4
17	3
18	0
19	0
20	1
21	0
22	6
23	6
24	0
25	0
26	0
27	1
28	0
29	8
30	0
31	4
32	0
33	0
34	0
35	1
36	0
37	24
38	9
39	20
40	0
41	0
42	0
43	0
44	1
45	0
46	52
47	54
48	20
49	5
50	0
51	0
52	0
53	0
54	1
55	0
56	96
57	138
58	0
59	45
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	212
68	207
69	16
70	105
71	6
72	0
73	0
74	0
75	0
76	0
77	1
78	0
79	504
80	360
81	200
82	70
83	84
84	0
85	0
86	0
87	0
88	0
89	0
90	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	2
8	0
9	1
10	0
11	0
12	0
13	0
14	1
15	0
16	4
17	3
18	0
19	0
20	1
21	0
22	6
23	6
24	0
25	0
26	0
27	1
28	0
29	8
30	0
31	4
32	0
33	0
34	0
35	1
36	0
37	24
38	9
39	20
40	0
41	0
42	0
43	0
44	1
45	0
46	52
47	54
48	20
49	5
50	0
51	0
52	0
53	0
54	1
55	0
56	96
57	138
58	0
59	45
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	212
68	207
69	16
70	105
71	6
72	0
73	0
74	0
75	0
76	0
77	1
78	0
79	504
80	360
81	200
82	70
83	84
84	0
85	0
86	0
87	0
88	0
89	0
90	1

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	2
8	0
9	1
10	0
11	0
12	0
13	0
14	1
15	0
16	4
17	3
18	0
19	0
20	1
21	0
22	6
23	6
24	0
25	0
26	0
27	1
28	0
29	8
30	0
31	4
32	0
33	0
34	0
35	1
36	0
37	24
38	9
39	20
40	0
41	0
42	0
43	0
44	1
45	0
46	52
47	54
48	20
49	5
50	0
51	0
52	0
53	0
54	1
55	0
56	96
57	138
58	0
59	45
60	0
61	0
62	0
63	0
64	0
65	1
66	0
67	212
68	207
69	16
70	105
71	6
72	0
73	0
74	0
75	0
76	0
77	1
78	0
79	504
80	360
81	200
82	70
83	84
84	0
85	0
86	0
87	0
88	0
89	0
90	1